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Dimensionality Reduction: A Comparative Review

Published 1 January 2009
Laurens van der Maaten, Eric Postma, H.J. van den Herik
Citations2,121

TL;DR

The results of the experiments reveal that nonlinear techniques perform well on selected artificial tasks, but that this strong performance does not necessarily extend to real-world tasks.

Abstract

In recent years, a variety of nonlinear dimensionality reduction techniques have been proposed that aim to address the limitations of traditional techniques such as PCA and classical scaling. The paper presents a review and systematic comparison of these techniques. The performances of the nonlinear techniques are investigated on artificial and natural tasks. The results of the experiments reveal that nonlinear techniques perform well on selected artificial tasks, but that this strong performance does not necessarily extend to real-world tasks. The paper explains these results by identifying weaknesses of current nonlinear techniques, and suggests how the performance of nonlinear dimensionality reduction techniques may be improved. Dimensionality Reduction: A Comparative Review Laurens van der Maaten Eric Postma Jaap van den Herik

Keywords

Computer ScienceEngineering